GCD of 180, 410, 968, 372 Calculator

Given Input numbers are 180, 410, 968, 372

In the factoring method, we have to find the divisors of all numbers

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 410 :

The positive integer divisors of 410 that completely divides 410 are.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

GCD of numbers is the greatest common divisor

So, the GCD (180, 410, 968, 372) = 2.

Given numbers are 180, 410, 968, 372

The list of prime factors of all numbers are

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 410 are 2 x 5 x 41

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 372 are 2 x 2 x 3 x 31

The highest common occurrence is 2¹

Therefore, GCD of 180, 410, 968, 372 is 2.

Given numbers are 180, 410, 968, 372

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(180, 410) = 7380

GCD(180, 410) = ( 180 x 410 ) / 7380

= 180 / 410

= 180

Step2:

LCM(10, 968) = 4840

GCD(10, 968) = ( 10 x 968 ) / 4840

= 10 / 968

= 10

Step3:

LCM(2, 372) = 372

GCD(2, 372) = ( 2 x 372 ) / 372

= 2 / 372

= 2

So, Greatest Common Divisor of 180, 410, 968, 372 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 841, 585, 648, 859
• GCD of 900, 606, 683, 987
• GCD of 880, 319, 455, 810
• GCD of 351, 402, 495, 884
• GCD of 781, 208, 439, 526

Given numbers are 180, 410, 968, 372
The greatest common divisor of numbers 180, 410, 968, 372 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 410, 968, 372 is 2.

1. What is the GCD of 180, 410, 968, 372?

GCD of given numbers 180, 410, 968, 372 is 2

2. How to calculate the greatest common divisor of 180, 410, 968, 372?

We can find the highest common divisor of 180, 410, 968, 372 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 180, 410, 968, 372 i.e 2.

3. How can I use the GCD of 180, 410, 968, 372Calculator?

Out the numbers 180, 410, 968, 372 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.